Lattice Gauge Theory

TL;DR

This paper reviews recent advances in lattice gauge theory, focusing on exact chiral symmetry, dynamical quark effects, and their impact on hadron spectrum calculations and related non-perturbative results.

Contribution

It provides a comprehensive overview of recent progress in lattice formulations, especially in implementing chiral symmetry and understanding dynamical quark influences.

Findings

Progress in formulating exact chiral symmetry on the lattice

Quantification of dynamical quark effects on hadron spectrum

Results on light quark masses and glueball spectra

Abstract

The status of lattice calculations in Quantum Field Theory is reviewed. A major part is devoted to recent progress in formulating exact chiral symmetry on the lattice. Another topic which has received a lot of attention is the influence of dynamical quark effects. Attempts to quantify these effects for the light hadron spectrum and flavour singlet amplitudes are discussed, as well as other expected qualitative features of simulations with dynamical quarks. The remaining parts of the review include recent results for the light quark masses using non-perturbative renormalisation and the spectrum of glueballs and heavy hybrids computed using anisotropic lattices.